A family of regular vertex operator algebras with two generators (CROSBI ID 131841)
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Podaci o odgovornosti
Adamović, Dražen
engleski
A family of regular vertex operator algebras with two generators
For every $m \in {; ; ; \C}; ; ; \setminus \{; ; ; 0, -2\}; ; ; ; $ and every nonnegative integer k we define the vertex operator (super)algebra D_{; ; ; m, k}; ; ; having two generators and rank $\frac{; ; ; 3 m}; ; ; {; ; ; m + 2}; ; ; $. If m is a positive integer then D_{; ; ; m, k}; ; ; ; can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that D_{; ; ; m, k}; ; ; ; is a regular vertex operator (super)algebra and find the number of inequivalent irreducible modules.
Vertex operator algebras ; vertex operator superalgebras ; rationality ; regularity ; lattice vertex operator algebras
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